The Global Agenda 2030 has set out a common pathway that delineates the type of vocational training that higher education institutions (HEIs) should provide to respond to the challenges it sets. Rankings and other metrics are concerned with examining the quality of higher education in terms of research standards or international accreditation.…

Whilst the starting point is the impact of the pandemic the overall aim of the paper is to advance the case for the introduction of a transdisciplinary approach to learning. The justification for adopting this radical method is to deliver specific graduate outcomes in line with the 10 job skills for 2025 identified by the World Economic Forum.…

Building Thinking Classrooms (Liljedahl, 2021) provides teachers with a new method of designing and sequencing tasks called "thin slicing," which emerged from variation theory. The results of the present study indicate that an analysis of the dimensions and ranges of variation within such a task offers insights into learning…

Construction is a critical player in the U.S. economy. Construction contributed $884 billion to the nation's GDP in 2019, employing more than 7.5 million people in the United States. Despite its prominent role in the national economy, the construction industry still deals with long-standing problems. Construction project managers (CPMs) are…

This paper presents Big Ideas of Measurement as a framework of students' thinking about measurement. Drawing from research-based evidence, the framework is a collection of key concepts that students must develop for a robust understanding of measurement and, as such, are key aspects of students' thinking teachers should learn to notice. In a case…

Previous research found that critical thinking skills of students need to be trained more intensively using authentic problems in daily life. Critical thinking can be developed through problem-based learning as a pedagogical approach in an aligned learning and teaching context. This research aims to obtain the profile of students' critical…

The development of the mathematical concept of the infinite, through the reflections that arise from personal notions and perceptions and the analysis of some ideas of Galileo and Cantor, invites us to investigate the relationship between intuition and formalization for the understanding of the said concept. This paper aims to observe and describe…

Critical Thinking & Problem Solving belong to 21st century skills that enhance ways of thinking, learning, working and living in the world. When combined with well-designed educational activities, mobile technology has the capacity to foster these abilities. This study evaluates the Critical Thinking & Problem Solving skills of ninth-grade…

Subtizing emerges at an early age, but it further develops when supported. In parallel, research has shown that it supports other cognitive skills along with early math skills. For this reason, it is important to identify studies in the literature to determine the subitizing levels of preschool children and provide example practices to help…

In this report, we present cases where students constructed new quantities through operating on quantities that does not fit the definitions of existing theories on quantitative operations. As a result, we identified five quantitative operators--operators that can be used on single qualities in order to transform the quantity to a new…

The construct of static and emergent shape thinking (Moore & Thompson, 2015) characterizes differences in students' reasoning about graphs. In our previous work with middle school students, we found that this construct may also be useful in characterizing students' reasoning about other representations such as simulations and tables. In this…

Music undoubtedly affects the visual and emotional sensitivity of a person. It stimulates various sensations, thoughts, images and sensations that cause a desire for free expression of the personality. Through the conscious perception of music, knowledge, skills and relationships are created that develop imagination, fantasy and creativity,…

Angularity is a persistent quantity throughout K-12+ school mathematics, and many studies have shown that individuals often conflate angularity with linear attributes (e.g., the length of an angle model's sides). However, few studies have examined the productive ways in which students might reason about angularity while attending to linear…

This full paper concerns an exploratory study that investigates students' reasoning about torsion. Mechanical reasoning is critical to engineering applications and yet students still struggle to accurately predict, analyze, and model mechanical systems using formal symbolic notations (i.e., formalizations). To understand the nature of students'…

Whilst educational goals in recent years for mathematics education are foregrounded the development of mathematical competencies, little is known about mathematics teachers' competencies. In this study, a group of practising teachers were asked to solve an algebra problem, and their solutions were analysed to determine the competencies apparent…